3D discrete curvelet transform

Lexing Ying; Laurent Demanet; Emmanuel Candes

doi:10.1117/12.616205

17 September 2005 3D discrete curvelet transform

Lexing Ying, Laurent Demanet, Emmanuel Candes

Proceedings Volume 5914, Wavelets XI; 591413 (2005) https://doi.org/10.1117/12.616205
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

In this paper, we present the first 3D discrete curvelet transform. This transform is an extension to the 2D transform described in Candes et al..¹ The resulting curvelet frame preserves the important properties, such as parabolic scaling, tightness and sparse representation for singularities of codimension one. We describe three different implementations: in-core, out-of-core and MPI-based parallel implementations. Numerical results verify the desired properties of the 3D curvelets and demonstrate the efficiency of our implementations.

Citation Download Citation

Lexing Ying, Laurent Demanet, and Emmanuel Candes "3D discrete curvelet transform", Proc. SPIE 5914, Wavelets XI, 591413 (17 September 2005); https://doi.org/10.1117/12.616205

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available